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Theorem 2a1 25
Description: A double form of ax-1 5. Its associated inference is 2a1i 27. Its associated deduction is 2a1d 23. (Contributed by BJ, 10-Aug-2020.) (Proof shortened by Wolf Lammen, 1-Sep-2020.)
Assertion
Ref Expression
2a1  |-  ( ph  ->  ( ps  ->  ( ch  ->  ph ) ) )

Proof of Theorem 2a1
StepHypRef Expression
1 id 19 . 2  |-  ( ph  ->  ph )
212a1d 23 1  |-  ( ph  ->  ( ps  ->  ( ch  ->  ph ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  dfgcd2  10536
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